On Saturday, 420 more women than men attended a concert. On Sunday, the number of women decreased by 40% and the number of men increased by 70%. 804 audience attended the concert on Sunday. If each ticket cost $20, how much money was collected from the sale of concert tickets for the two days?
|
Women |
Men |
Comparing between the women and the men at first |
420 more |
|
Before |
5x2 |
+ 420 |
10x1 |
Change |
- 2x2 |
- 168 |
+ 7x1 |
After |
3x2 |
+ 252 |
17x1 |
|
Women |
Men |
Before |
10 u + 420 |
10 u |
Change |
- 4 u - 168 |
+ 7 u |
After |
6 u + 252 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 420
=
40100 x 420
= 168
420 - 168 = 252
Total number of tickets sold on Sunday
= 6 u + 252 + 17 u
= 23 u + 252
23 u + 252 = 804
23 u = 804 - 252
23 u = 552
1 u = 552 ÷ 23 = 24
Total number of tickets sold for the two days
= (10 u + 420) + 10 u + (6 u + 252) + 17 u
= 43 u + 672
= 43 x 24 + 672
= 1704
Amount collected from the sale of concert tickets for the two days
= 1704 x 20
= $34080
Answer(s): $34080